7361952 has 96 divisors (see below), whose sum is σ = 22099392. Its totient is φ = 2125824.

The previous prime is 7361951. The next prime is 7361953. The reversal of 7361952 is 2591637.

It is an interprime number because it is at equal distance from previous prime (7361951) and next prime (7361953).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7361951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21043 + ... + 21389.

It is an arithmetic number, because the mean of its divisors is an integer number (230202).

Almost surely, 2^7361952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696).

7361952 is an abundant number, since it is smaller than the sum of its proper divisors (14737440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7361952 is a wasteful number, since it uses less digits than its factorization.

7361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 7361952 is about 2713.2917277727. The cubic root of 7361952 is about 194.5349602218.

The spelling of 7361952 in words is "seven million, three hundred sixty-one thousand, nine hundred fifty-two".